{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MovieLens的数据集——数据探索\n",
    "\n",
    "数据集包含三个主要文件：\n",
    "1. 用户电影打分三元表：u.data\n",
    "4个字段：\n",
    "1）user_id：用户ID\n",
    "2）movie_id：电影ID\n",
    "3）rating：用户打分\n",
    "4）timestamp：表示用户打分的时间，unix seconds since 1/1/1970 UTC\n",
    "\n",
    "2. 用户基本信息表：u.user\n",
    "共5个字段：\n",
    "1）user_id：用户ID\n",
    "2）age：年龄\n",
    "3）gender：性别\n",
    "4）occupation：职业\n",
    "5）zip_code：邮编\n",
    "\n",
    "3. 电影基本信息表：u.item\n",
    "共5 + 19 个字段：\n",
    "1）movie_id：电影ID\n",
    "2）title：电影标题（带年份）\n",
    "3）release_date：电影发布日期\n",
    "4）video_release_date：Video发布日期\n",
    "5）imdb_url：链接\n",
    "\n",
    "6-25）genres（共19维）：\n",
    "'unknown', 'Action', 'Adventure',\n",
    "'Animation', 'Children\\'s', 'Comedy', 'Crime', 'Documentary', 'Drama', 'Fantasy',\n",
    "'Film-Noir', 'Horror', 'Musical', 'Mystery', 'Romance', 'Sci-Fi', 'Thriller', 'War', 'Western'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## import工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import datetime\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读入评分数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   user_id  item_id  rating  timestamp\n0      196      242       3  881250949\n1      186      302       3  891717742\n2       22      377       1  878887116\n3      244       51       2  880606923\n4      166      346       1  886397596\n"
     ]
    }
   ],
   "source": [
    "#读取数据\n",
    "cols = ['user_id','item_id', 'rating', 'timestamp'] \n",
    "\n",
    "data_path = './data/u.data'\n",
    "data = pd.read_csv(data_path, sep='\\t', names=cols, encoding='latin-1')\n",
    "print(data.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\nRangeIndex: 100000 entries, 0 to 99999\nData columns (total 4 columns):\nuser_id      100000 non-null int64\nitem_id      100000 non-null int64\nrating       100000 non-null int64\ntimestamp    100000 non-null int64\ndtypes: int64(4)\nmemory usage: 3.1 MB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   user_id  item_id  rating           timestamp\n0      196      242       3 1997-12-04 23:55:49\n1      186      302       3 1998-04-05 03:22:22\n2       22      377       1 1997-11-07 15:18:36\n3      244       51       2 1997-11-27 13:02:03\n4      166      346       1 1998-02-02 13:33:16\n"
     ]
    }
   ],
   "source": [
    "data[\"timestamp\"].astype(\"float64\")\n",
    "data[\"timestamp\"] = data[\"timestamp\"].map(datetime.datetime.fromtimestamp)\n",
    "print(data.head())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算用户数、电影数目"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of users:943, \nNumber of items:1682\n"
     ]
    }
   ],
   "source": [
    "n_users = data['user_id'].unique().shape[0]\n",
    "n_items = data['item_id'].unique().shape[0]\n",
    "print(\"Number of users:{}, \\nNumber of items:{}\".format(\n",
    "    n_users, n_items))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算每个用户的评分次数\n",
    "看哪些用户最活跃"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "405    737\n655    685\n13     636\nName: user_id, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "# 统计每个User给多少个Item打分了\n",
    "user_score_info = data[\"user_id\"].value_counts()\n",
    "print(user_score_info.head(3))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '打过分的Items数')"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(1, 1, 1)\n",
    "plt.bar(np.array(user_score_info.index), user_score_info.values)\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False\n",
    "plt.title(\"每个User给多少个Item打分了\")\n",
    "plt.xlabel(\"User序号\")\n",
    "plt.ylabel(\"打过分的Items数\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算每个电影的评分次数\n",
    "看哪些电影最流行(被评分次数最多)\n",
    "基于流行度的推荐可以推荐最流行的电影"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '被多少个User打过分')"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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h4YABA9SqVasS4aeyiu+BU3xpf7GioiJbm7+/v7Zv36433nhD0dHRSkpK0hVXXKFPPvnENr+Pj4927txZ4v1o1qyZ3XK7du1aah333nuvvvzyS6WmpioyMtKheytdSEZGhnbt2qU+ffrYTT969KiaNm1a6eUDVQn3+QEclJmZqfDwcNu9Yx588EFFRETYdnqSdOrUKQUFBSk/P99up30xBAYG2o5Ona/4/ixWq1VXXnmlJOnYsWOKj493OBwU3zemWO3atfX888/rhRdesC1z4sSJio+PV1RUlO69917Vq1ev1GVZLBalpKRoyZIluvnmm1WrVi2lp6dr+PDhWrNmjWrXrq2hQ4fqkUcesR2hupDHH39ckpScnKyRI0eqadOm2rBhg0JDQx16vaMaNWqkwMBAffPNN7Zpp0+f1vfff6/bb79dkvTJJ58oJSVFDz30kPr376/HH39cbdq00Wuvvabrr79e7du319mzZ+Xj42O7585XX32lZ555RgsWLFBERMQF6yg+YuNKjzzyiBo2bKgBAwbYTc/MzCT8oMYh/AAOOnz4sH788cdyf9pCktq0aaN27dopLS3tIlX2m65du+rhhx/Wpk2bZLFYdOTIEf3tb39Ty5Ytdccdd2jChAnKy8tT48aNNW/ePH399ddasmRJpdaZlJSk4cOHS5KGDx+umTNnKiUlRevWrSvzNS1bttSnn35qN23SpEnKzc3VsGHDZIzRnDlzNH36dIfryMrK0uOPP67FixfrlltuUWJiourUqVOxjSqHxWLRnXfeqUWLFqlx48aKiorSP//5TxUWFmrEiBGSfjud9Mgjj8jX11ddunTRt99+q++//14jR46UJPXp00e9evXSyJEj9cQTTygoKEh///vfVVRU5NTpOFcpPm3273//W2+//XaJ01v79u3Tddddd9HrAtyJ8AM4aPDgwTp9+nSpbcYYffzxx7rlllv0448/OvTDp2fPnnXpD2mOGjVKO3fu1MiRI5Wfn6877rhDf/vb3yRJL730kqZPn67Jkyfr9OnT6tmzpz766COn7yp9fs0bNmzQV199Zfuh1ylTpuinn35SZGSkbr75Zs2fP18xMTHlLm///v3aunWr1q5dqw0bNqhHjx5KSEjQ1VdffcFasrOz9emnn+rf//631q1bp8jISP373/+2hQxnOfp+JCQkyN/fX3PmzNGvv/6qtm3bauPGjbY7Vffo0UPLli3TggUL9Pe//13BwcEaM2aM3VG2d955R5MnT9bo0aNlsVh04403KiEh4YLB+nxWq1Xnzp1TdnZ2mae9jhw5Ikll3ul6165dmjVrljZu3KgXXnhBf/nLXyT99nMXixYt0qFDh7Rjxw7Fx8c7XJck/frrr07ND1x0HhxsDdQIp0+fNhEREUaSGT9+vMOva9eunZk+fbobK3O9pUuXmm7dupljx46ZRo0amYcffths3rzZXHvttSY8PNx88cUXJjc31/z1r381kswVV1xhtmzZYnv9gw8+aAYOHGiuvPJK252imzVrZh588MFy70JcbNWqVebPf/6zad++ve2S+l69epnly5fb3Y+oImrXrm1eeumlSi3jYrr//vuNJGOxWMxHH31k13bo0CHTpEkTU6tWLdOgQYNS7zr+008/mZYtW5p27drZvUfF4uLiTPv27c3TTz9d4p5TpSkoKDA9evQwrVu3NpJMv379Kr5xgJtx5AeopMDAQK1Zs0aXXnqpoqOjHX5dYWGhCgoK3FiZ651f88iRIzVz5kytW7dODRo00Jo1a9SwYUNJ0ptvvqn77rtPK1eutDtl0rt3b+Xk5Khr16664oor1KVLF7vf9rqQnj17asWKFYqLi9OTTz6p6667zmXjeqrb+zFu3Dh17txZvXr1UosWLezaWrRooYkTJ6pBgwYaNGiQ3bi0Yg0aNNDWrVsVHh5e6pGj8k5dlsbPz09XX321duzYof79+2vy5MlOvR64mCzGOHB8HgAAoIbgUncAAOBVCD8AAMCrEH4AAIBXIfwAAACv4lVXe507d04//PCD6tat69T9NAAAgOcYY2w3aS3rvlXO8Krw88MPP3CbdgAAqqmMjAzb7/hVhleFn+K72WZkZCg4ONjD1QAAAEfk5uaqadOmTt+VvixeFX6KT3UFBwcTfgAAqGZcNWSlSgx4nj59ugYPHmx7npaWppiYGNWvX1/x8fF2v5O0ZcsWtWnTRmFhYUpISPBEuQAAoBrzePhJS0vTiy++qH/84x+SfvuxvsGDB6tz585KSUlRenq6li9fLum3X26Oi4vTiBEjtG3bNiUlJSk5OdmD1QMAgOrGo+HHGKNx48bpwQcfVKtWrSRJGzduVE5OjhISEtSqVSvNnTtXiYmJkqSkpCRFRERo1qxZat26tWbPnm1rAwAAcIRHw8/SpUu1e/duRUVF6b333lNhYaFSU1PVrVs3BQUFSZI6duyo9PR0SVJqaqr69u1rO+fXpUsX7dy5s8zlW61W5ebm2j0AAIB381j4OXnypGbOnKnWrVvr6NGjSkhIUK9evZSbm6uoqCjbfBaLRT4+PsrOzi7RFhwcrMzMzDLXMW/ePIWEhNgeXOYOAAA8Fn7+85//6NSpU9q8ebNmzZqlDz74QCdOnNCrr76qgIAAu3kDAwOVn58vX19fu7bi6WWZMWOGcnJybI+MjAy3bQ8AAKgePHap+9GjR9W1a1eFhob+Voivrzp27KjDhw8rKyvLbt68vDz5+/srNDTUrq14elkCAgJKBCkAAODdPHbkp2nTpjp9+rTdtO+//16LFi3S9u3bbdMOHz4sq9Wq0NBQxcTE2LXt3r1bTZo0uWg1AwCA6s9j4WfgwIHau3evXnrpJR09elTPP/+8du/erRtvvFE5OTl6/fXXJUnz589Xv3795OPjo7i4OG3dulXJyckqKirSwoULFRsb66lNAAAA1ZDFnH8HwYts+/btmjp1qnbt2qVGjRopISFBQ4cO1dq1azVy5EjVrVtXZ8+e1ZYtW9SuXTtJ0osvvqgHH3xQISEhql27tv7v//5PDRs2dGh9ubm5CgkJUU5ODnd4BgCgmnD1/tuj4ac8mZmZSklJUffu3RUeHm7XduDAAe3du1e9e/d2qhMIPwAAVD9eE37cgfADAED14+r9t8d/3gIAAOBiIvwAAACvQvgBAABehfADAAC8CuEHAAB4FcIPAADwKoQfAADgVQg/AADAqxB+AACAVyH8AAAAr0L4AQAAXoXwAwAAvArhBwAAeBXCDwAA8CqEHwAA4FUIPwAAwKsQfgAAgFch/AAAAK9C+AEAAF6F8AMAALwK4QcAAHgVwg8AAPAqhB8AAOBVCD8AAMCrEH4AAIBXIfwAAACvQvgBAABehfADAAC8CuEHAAB4FcIPAADwKoQfAADgVQg/AADAqxB+AACAVyH8AAAAr0L4AQAAXoXwAwAAvArhBwAAeBXCDwAA8CqEHwAA4FUIPwAAwKsQfgAAgFch/AAAAK9C+AEAAF6F8AMAALwK4QcAAHgVwg8AAPAqhB8AAOBVCD8AAMCreCz8TJo0SRaLxfaIjo6WJKWlpSkmJkb169dXfHy8jDG212zZskVt2rRRWFiYEhISPFV6jdRi+npPlwAAwEXhsfCzY8cOrV+/XtnZ2crOztauXbtktVo1ePBgde7cWSkpKUpPT9fy5cslSVlZWYqLi9OIESO0bds2JSUlKTk52VPlAwCAasoj4aeoqEhpaWnq1auX6tWrp3r16qlu3brauHGjcnJylJCQoFatWmnu3LlKTEyUJCUlJSkiIkKzZs1S69atNXv2bFsbAACAozwSfvbs2SNjjK688kpdcskl6t+/v44cOaLU1FR169ZNQUFBkqSOHTsqPT1dkpSamqq+ffvKYrFIkrp06aKdO3eWux6r1arc3Fy7BwAA8G4eCT/p6elq166d3nzzTaWnp8vPz0/jxo1Tbm6uoqKibPNZLBb5+PgoOzu7RFtwcLAyMzPLXc+8efMUEhJiezRt2tRt2wQAAKoHj4Sf2267Tdu3b1dMTIyioqL0z3/+Ux988IHOnTungIAAu3kDAwOVn58vX19fu7bi6eWZMWOGcnJybI+MjAy3bA8AAKg+fD1dgCTVq1dP586dU6NGjZSWlmbXlpeXJ39/f4WGhiorK6vE9PIEBASUCFMAAMC7eeTIz5QpU7Rq1Srb8y+//FK1atVShw4dtH37dtv0w4cPy2q1KjQ0VDExMXZtu3fvVpMmTS5q3QAAoPrzSPi58sor9cgjj+jTTz/V5s2bNWnSJN1111268cYblZOTo9dff12SNH/+fPXr108+Pj6Ki4vT1q1blZycrKKiIi1cuFCxsbGeKB8AAFRjHjntdeedd2rv3r0aMmSI6tatq2HDhmnu3Lny9fXVK6+8opEjRyo+Pl5nz57Vli1bJElhYWFatGiRYmNjFRISotq1a3OpOwAAcJrFnH8L5SoiMzNTKSkp6t69u8LDw+3aDhw4oL1796p3794KDg52arm5ubkKCQlRTk6O06+t6VpMX6/D8wd6ugwAAEpw9f67Sgx4/qMmTZqUOZ4nOjra9lMYAAAAzuKHTQEAgFch/AAAAK9C+AEAAF6F8AMAALwK4QcAAHgVwg8AAPAqhB8AAOBVCD8AAMCrEH4AAIBXIfwAAACvQvgBAABehfADAAC8CuEHAAB4FcIPAADwKoQfAADgVQg/AADAqxB+AACAVyH8AAAAr0L4AQAAXoXwAwAAvArhBwAAeBXCDwAA8CqEHwAA4FUIPwAAwKsQfgAAgFch/AAAAK9C+AEAAF6F8AMAALwK4QcAAHgVwg8AAPAqhB8AAOBVCD8AAMCrEH4AAIBXIfwAAACvQvgBAABehfADAAC8CuEHAAB4FcIPAADwKoQfAADgVQg/AADAqxB+AACAVyH8eLkW09d7ugQAAC4qwg8AAPAqhB8AAOBVCD8AAMCrEH4AAIBXIfwAAACvQvgBAABehfADAAC8SoXDzy+//KL8/HyXFNG/f38tX75ckrRlyxa1adNGYWFhSkhIsJtv9erVat68uRo3bqw333zTJesGAADepcLhZ/z48Ro0aFClC0hKStL7778vScrKylJcXJxGjBihbdu2KSkpScnJyZKktLQ03XbbbZo1a5bef/99zZ49W99++22l1w8AALxLhcLPW2+9pbVr1+rxxx+v1Mp//fVXTZ06VZdffrmk34JQRESEZs2apdatW2v27NlKTEyUJC1btkx9+vTR2LFj1aFDB02cOFErVqyo1PoBAID38XX2Be+9957uuusuvfjii/rb3/6mpk2bKjIyUpGRkWratKnatGmjnj17OrSsqVOnatiwYTp9+rQkKTU1VX379pXFYpEkdenSRTNmzLC1DRgwwPbaLl266Iknnih3+VarVVar1fY8NzfXqW0FAAA1j8NHfgoLC/XII4/o1ltv1bPPPquxY8fq22+/1Z///GdFRUUpKytL7733noYMGaLZs2dfcHnJycn6+OOP9fTTT9um5ebmKioqyvY8ODhYmZmZF2wry7x58xQSEmJ7NG3a1NHNBQAANZRDR35++OEHXXPNNWrbtq22b9+ujh072trGjBkjf39/2/P3339fU6dOLfeU2JkzZzRu3DgtWbJEwcHBvxfj66uAgADb88DAQNug6vLayjJjxgxNmTLF9jw3N5cABACAl3Mo/DRu3FirV69W9+7d7aYXn546X1RUlO6///5yl/fEE08oJiZGAwcOtJseGhqqrKws2/O8vDxbsCqvrSwBAQF2gQkAAMDhMT9/DD6SZIzR2rVr1blzZ7Vq1UqSdNlll+myyy4rd1lvvPGGsrKyVK9ePUlSfn6+Vq1aJUnq0aOHbb7du3erSZMmkqSYmBht375dd999d4k2AAAARzk85ufhhx/WunXrSkyfP3++OnbsqPbt22v16tUOLeuzzz5TWlqadu/erd27dysuLk6PP/64jhw5oq1btyo5OVlFRUVauHChYmNjJUl/+ctftHLlSqWnp+vUqVN64YUXbG0AAACOcjj8hISEaOzYsbruuuuUmpoqY4wk6fPPP1d2drZmzZqlKVOm2I2xKUtkZKRatGhhe9SpU0dhYWEKCwvTokWLFK7WEFQAACAASURBVBsbq4iICKWlpWnmzJmSpE6dOmnixIm66qqrFBkZKWOMxo8fX8HNBgAA3spiilOMA/Lz8/XYY49p8eLFmjlzpj744AOtX79eQUFBkqQjR46oe/fuevjhhy847qc8Bw4c0N69e9W7d2+7AdGS9NVXXykzM1N9+/Z1ejxPbm6uQkJClJOTU2K53qrF9PU6PH+g7b8AAFQ1rt5/O3Wfn6CgID3zzDMaNmyYbr75Zt1www0KDAy0tTdr1kwrVqzQ0KFDddttt+nSSy+tUFHR0dGKjo4uta1jx452V5sBAAA4o0J3eL722mv1v//9Tzt37tTRo0ft2vr06aPFixdXOPgAAAC4U4V/26tFixbavXu3mjVrVqLt9ttvr1RRqF5aTF/v6RIAAHCY0+Hn/CFCtWqVfHlGRoaOHTtWuaoAAADcxOnwExISYvd7WX908OBBRUZGVqooAAAAd3E6/PzxZyb+KDw8vFIFAQAAuJPDV3v5+fnZfk+rtMvMgoKCNHr0aN17770uLRAAAMCVHA4/X375perUqaOuXbtq586dJdq/+eYbxcXFaezYsS4tEAAAwJUcDj9XXnmlJMnHx0fNmzcv0d6wYUO1bt1aOTk5dvf+AQAAqEoqfKm7JG3YsEH9+vVTcnKyAgMDlZaWJl9fX9sdnwEAAKqaCoefxMREDR06VM2aNVPLli1t09PT09W0aVOXFAcAAOBqTv28hfTb1V75+fkaM2aMYmNjS1zW/t5776l///4uKxAAAMCVnA4/aWlpttNafww+aWlp+vjjj/X111+7pjoAAAAXczj8FBYWaty4cdqxY4dSU1Ml/Xb5+yWXXGKbp6CgQOPHj1doaKjrKwUAAHABh8f8PPnkk9q1a5feeust27S6detqz549tsdLL72kVatWceSnhuO3vAAA1ZnDR34efPBBTZs2zXbKKzc3V2fPnrW77P2uu+7SkSNHNHLkSO3cuVM+Pj6urxgAAKASHD7yU79+fbtL2IODg5WVlVVivtmzZ+uDDz4g+AAAgCrJqUvdN2zYoK1bt9qe+/v7lzpfw4YNK1cVAACAmzgVfj766CO78AMAAFDdOBV+AgIC5Ovr9NXxAAAAVYbTSWbJkiX673//W+48DRs21JIlSxQWFlbhwgAAANzB6fDTpUuXcu/gfPbsWS1atEjLli3T9OnTK1UcAACAqzkdfmJiYjRq1Khy5/nmm2+Un59f4aIAAADcxanwU1RUpHPnzl1wvjlz5tjd+RkAAKCqcGrAc48ePdSpUyc988wzkqSff/5ZX375ZYn5CD4AAKCqcir8DB06VH/60580b94827Rbb73V5UUBAAC4i8OnvZYsWaLAwEDVqlVLRUVFWrFihYwx8vHx0dy5c22/8G6xWBQREaF+/fq5rWgAAICKcjj8rFq1SoGBgfLx8VFhYaFWrVolSQoPD9dzzz2nLl26SJKMMdq6dauSkpI0cOBA91QNVFKL6et1eD6fTwDwRg6Hn+TkZEm/hZvQ0FC9++67kn4b99OuXTv95z//kZ+fnyRp+PDh2rZtG+EHAABUOU5f6l5UVKRLL73U9rxBgwZq0aKFtmzZYjvVtWDBAttpMAAAgKrE6fDj5+enAwcO2E3bunWrAgICbM+bNWtW+coAAADcwKmrvcpyfvABAACoyiocfkaOHKm9e/e6shYAAAC3q3D4OXLkiHbt2uXKWgAAANyuwuHnueee07x58/TFF1+4sh4AAAC3cnrAc7GHHnpIZ8+e1bXXXqtrrrlGtWvXtrVt3rzZJcUBAAC4WoXDz1133eXCMgAAAC6OCoefUaNGubIOuBl3NAYA4DeVutQ9Pz9fmzZt0iuvvKLjx49rw4YNrqoLAADALSocfj799FNFRkbq7rvv1sSJE/XTTz9pzJgxWrRokSvrAwAAcKkKh5/77rtPTz/9tDIzM1W7dm3VqVNHq1at0rPPPuvK+rxOi+nrPV0CAAA1WoXDz08//WT7La9iLVq00JkzZypdFAAAgLtUOPwMGTJEI0eO1AcffCBjjI4eParZs2dryJAhrqwPAADApSp1k8O2bdtqyJAhys3N1Z/+9Cf5+/vrueeec2V9AGoATucCqEoqfKl7nTp1lJiYqGXLlikrK0vh4eGyWCyurA0AAMDlKnWp+759+2SxWNSgQQOtXbtW77zzjowxrqoNAADA5Socfp555hldc801Msbo4Ycf1oQJEzRx4kRNmDDBlfUBAAC4VIXDT0JCgjZv3iyLxaIVK1bo008/1ccff6yVK1e6sj4AAACXqnD4sVqtCg0N1d69exUUFKTo6GhZLBanx/0cP35cn3/+uX755ZeKlgIAAOCwCoefwYMHa8CAAYqLi9Pw4cN1+PBhjR8/XjfeeKPDy1i5cqWio6M1YcIENWvWzHbUKC0tTTExMapfv77i4+PtxhFt2bJFbdq0UVhYmBISEipaPgAA8FIVDj/Lli3T5MmTNWvWLD3++OM6efKkunfvrpdfftmh1584cUKTJk3SZ599pl27dunll1/WtGnTZLVaNXjwYHXu3FkpKSlKT0/X8uXLJUlZWVmKi4vTiBEjtG3bNiUlJSk5ObmimwAAALxQhS919/f317333mt73r59ez311FMOvz4vL0//+Mc/1L59e0lSp06dlJ2drY0bNyonJ0cJCQkKCgrS3LlzNWHCBI0ePVpJSUmKiIjQrFmzZLFYNHv2bCUmJqpPnz4V3QwAAOBlnAo/ffr0KXNMT2hoqPr06aNx48bJ1/fCi23atKluu+02SVJhYaEWLlyoP//5z0pNTVW3bt0UFBQkSerYsaPS09MlSampqerbt6+thi5dumjGjBllrsNqtcpqtdqe5+bmOrahAACgxnIq/AwdOrTMthMnTmjhwoXat2+fU3d5Tk1NVZ8+feTv769vvvlGTzzxhKKiomztFotFPj4+ys7OVm5urtq2bWtrCw4OVmZmZpnLnjdvnubMmeNwLQAAoOZzKvw88MAD5bYPHjxYAwcOdCr8dOzYUR9//LEeeughjR49WpdddpkCAgLs5gkMDFR+fr58fX3t2oqnl2XGjBmaMmWK7Xlubq6aNm3qcG0AAKDmqdQdnv+odu3aKiwsdOo1FotFV111lZYvX65169YpNDRUWVlZdvPk5eXJ39+/RFvx9LIEBAQoODjY7gEAALybU0d+/vvf/5bZduLECb3wwgvq37+/Q8vavHmzNm7cqAULFvxWyP8fJ3TFFVdo2bJltvkOHz5su6dQTEyM3nzzTVvb7t271aRJE2c2AQAAeDmXnfaqX7+++vTpo0cffdShZV1xxRUaOnSoWrdurQEDBmjmzJm68cYbNXDgQP3tb3/T66+/rjvvvFPz589Xv3795OPjo7i4OE2YMEHJycm67rrrtHDhQsXGxjqzCTVSi+nrdXj+QE+XAQBAteBU+Dl06JDLVty4cWO9/fbbmjx5sh566CHFxsZqxYoV8vX11SuvvKKRI0cqPj5eZ8+e1ZYtWyRJYWFhWrRokWJjYxUSEqLatWsrMTHRZTUBAICar8L3+Zk/f74uu+wy/fnPf67wymNjY22XsZ9v6NCh2r9/v1JSUtS9e3eFh4fb2orvIr1371717t2bcTwAAMApFQo/VqtVixYt0ujRoysVfsrTpEmTMsfzREdHKzo62i3rBQAANVuFrvaaN2+ejDGaPn26q+sBAABwK6eP/KSkpOjpp5/WW2+9pdDQUHfUBAAA4DZOHfnZt2+fBg4cqEcffVRxcXHuqgkAAMBtHDry88MPP2j37t266667NGPGDE2YMEFFRUWqVatkdioqKlJhYaFq167t8mIBAAAqy6EjP9OmTdPgwYO1cOFCTZ48WcOHD5e/v7/8/PxKPAIDA7kCCwAAVFkOHflZsGCBgoOD9eCDD+qSSy7Riy++qCVLligwMNDuV96NMSooKFBBQYHbCgYAAKgMh8JPo0aNtHjxYg0aNEijRo3SY489pvHjx7u7NgAAAJdzasDzgAEDtHnzZs2ePVurVq1yV001Tovp6z1dAgAA+P+cvs9P+/bttXz5co0ZM0b79+93R00AAABuU6GbHA4aNEixsbG69957XV0PAACAW1X4t73mzJmjL774wpW1AAAAuF2Fw0/79u3Vvn17V9YCAADgdhU67SVJGzdu1Ntvv+3KWgAAANyuQuHnf//7n2655Rbl5OSosLBQx44dc3VdAAAAbuF0+Pnuu+80bNgwLVq0SGPHjtU///lP9erVS0ePHnVHfQAAAC7ldPi5/fbbddddd2ncuHGSpHvvvVddunTRn/70J/3yyy8uLxAAAMCVnA4/r776qp5++mnb80suuUT//ve/1bVrV91yyy0yxri0QAAAAFdyOPx8++23+v777xUUFKSMjAwdOXJER44c0eHDh7V//3698MIL+uWXX/T888+7s17UINz5GgDgCQ5f6t6mTRsFBgbKx8fHbvq5c+dUUFCgHTt26JVXXtGwYcN0zz336JJLLnF5sQAAAJXlcPixWq3y8/O74HyRkZF68803NWbMmEoVBgAA4A4On/YqDj4bNmzQwYMHy5xv1KhRWrt2beUrAwAAcAOnBzxv2rRJnTt31ooVK0pt7927tz777LNKFwYAAOAOToef559/Xhs3btRTTz2lO++8U6dOnbJr79ChgwoLC3XgwAGXFYmLj8HIAICaqkJ3eL722mu1Y8cOnTp1SjExMSoqKrK1WSwW3XDDDbJYLC4rEgAAwFUq/MOmtWvX1urVq5WcnCxfX/vFvPPOO6pVq8I/GwYAAOA2lUooFotFffv2LblQgg8AAKiiKp1Snn76aeXk5LiiFlRSaeN0GLtz8dDXAFA9OBV+CgoKSkybP3++Lr/8cm3atMllRQEAALiLU+HnxhtvVGpqqt20yMhIrVixQvfcc0+Zl78DFcXRFACAqzkVfo4ePaohQ4bok08+kSSdPXvWdnXXRx99pIceekg7d+50R524CAgaAABv4FT4CQoK0vr16zVmzBitXLlSffr00dmzZyVJzZs31+WXX67x48e7pVAAAABXcHrAc7t27bR48WI9/fTTioiI0PHjx5WXl6eBAwfqsssuU35+vrZv3+6OWgEAACrN4fCzb98+2/+HhobqwIED6t+/v9q1a6fHHntMN910k5YuXarRo0frjTfecEuxAAAAleVQ+Dl06JCuv/56ZWdna+fOnRo0aJDmzJmjF154QStXrtSKFSs0YMAAWSwWxcbGav16xo6gbIwtAgB4kkPhJyoqSu+//77Onj2rvLw8rV69WlOmTFHdunV17NgxPfbYY5oxY4YkqW3btjp+/Lh+/vlntxYOAABQEQ6f9urQoYNWrVqlcePG6ZprrpEkDRw4UGvWrNHYsWP1+eef67vvvpMktWrVSmlpae6pGAAAoBKcGvDcs2dPDRs2TFOmTJEkdevWTZs2bZK/v7/Wr1+vli1bSpIiIiJ06NAh11cLwOU4DQnA2zj9w6YzZszQ5s2bJUmXX365hg8fLkmKiYmxzTNixAjdcMMNLioRAADAdZwOP8HBwRo6dKgkqWHDhnrwwQft2vPz83Xbbbe5pjoAAAAXc+q013/+8x/FxMRo1apVkiRjTIl51q1bpwkTJrimOgAAABdzKvwYYxQTE6O6detK+m0M0O233273o6arV6+2DYgGAACoapwKPxaLRddff70GDBggScrNzdWtt96qxYsXq1u3bvrXv/6l7777TnfccYdbivV2DEx1P/oYAGo+h8f8NG7c2PY7XtOnT5cxRseOHVNcXJzi4uI0YcIEjRkzRomJifL1dXooEQAAwEXhcErZtm2bPvzwQ507d05DhgyRMUZ9+vTRggULlJSUpEaNGmnlypWKj4/XDTfcoCZNmrizbsCtWkxfr8PzB3q6DACAGzgcfpo3b6769esrKytL586dsw12/uWXX7Ry5UpdccUVtucTJ07UmjVr3FMxAABAJTg15qdOnTpavHixbrrpJg0aNEiBgYFavXq1evfurX79+mnZsmUaMWKEbUwQXKOqjEOpKnUAAFAZToWf2NhY7dmzR7t27dI777yje+65RwcPHlRSUpIeeeQRbdy4UVdeeaWaNWvmrnpRTRGcAABVhVMjk0+fPq2BAwdq+PDh6t27t/71r39p7dq1slqt+uijj9SnTx+9++672r17t/r37++umgEAACrMofBjtVp19913Kzw8XD/++KNeffVVPf/887ruuuv09ttva968eXrjjTckSYWFhQoODnZr0QAAABXl0GmvgIAAXXXVVXrqqacUEBCg7du3a8KECXrjjTfUpEkTHThwQHv27NGePXv09ddfa+/evRdc5rp169SyZUv5+vqqa9euttekpaUpJiZG9evXV3x8vN1dpLds2aI2bdooLCxMCQkJFdxkOOr8U1WctgIA1BQOj/mZOnWqgoKCdOLECVksFo0fP17r16/X999/r969e2vBggVasGCBEhIS9MILL5S7rIMHD2r06NGaP3++MjMz1bx5c40dO1ZWq1WDBw9W586dlZKSovT0dC1fvlySlJWVpbi4OI0YMULbtm1TUlKSkpOTK7XxAADA+zg14FmS3U9ZXHfddXr33XfVtm1bp5axd+9ezZ07V7feeqsaNmyo++67TykpKdq4caNycnKUkJCgVq1aae7cuUpMTJQkJSUlKSIiQrNmzVLr1q01e/ZsW1tZrFarcnNz7R5ATcHROACoGKdvxXz55ZfbPe/Vq5fTKx00aJDd82+//VbR0dFKTU1Vt27dFBQUJEnq2LGj0tPTJUmpqanq27evLBaLJKlLly6aMWNGueuZN2+e5syZ43R9AACg5nL6yI+rFRQUaOHChRo/frxyc3MVFRVla7NYLPLx8VF2dnaJtuDgYGVmZpa77BkzZignJ8f2yMjIcNt2AACA6sHj4WfmzJmqU6eO7rnnHvn6+iogIMCuPTAwUPn5+SXaiqeXJyAgQMHBwXYPAADg3Tz6C6QffvihXnrpJW3fvl1+fn4KDQ1VWlqa3Tx5eXny9/dXaGiosrKySkwHAABwhseO/Hz33Xe67bbbtGTJEtuA6ZiYGG3fvt02z+HDh2W1WhUaGlqibffu3fx4KgAAcJpHws/p06c1aNAgDR06VEOGDNHJkyd18uRJXXfddcrJydHrr78uSZo/f7769esnHx8fxcXFaevWrUpOTlZRUZEWLlyo2NhYT5QPAACqMY+c9nr//fe1d+9e7d27V0uXLrVNP3TokF555RWNHDlS8fHxOnv2rLZs2SJJCgsL06JFixQbG6uQkBDVrl37gpe6o2ppMX29Ds8f6OkyAABeziPhZ+jQoXZ3bj5fixYttH//fqWkpKh79+4KDw+3tY0fP1433nij9u7dq969ezOAGQAAOM2jA57L0qRJkzLH80RHRys6OvoiVwQAAGoKj1/qDgAAcDERftyAnx0AAKDqIvwAAACvQvgBAABehfADAAC8CuEHqMYYXwYAziP8AKgxCIMAHEH4qQL4wgYA4OIh/FQzBCUAACqH8FMDEZDgKD4rALwR4QcAAHgVwg+qLI5KAADcgfCDCiGYAACqK8IPAIcQeAHUFIQfAADgVQg/AADAqxB+4FKuOjVSnU6xVKdaAQCEH7iBN4UBb9hWb9hGAN6F8AMAALwK4QcAAHgVwg/wB944bgkAvAnhp4pix+m9eO8BwL0IP6gy2Ol7D95rAJ5E+IFHsRME7PE3Abgf4QcAAHgVwg8AAPAqhB8AAOBVCD8AAMCrEH4AAIBXIfyAq0sAAF6F8AMAALwK4QcAAHgVwo+HcKoJAADPIPy4CGEGAIDqgfBTwxDCAAAoH+GnCqqOAaY61gwA8E6EnyqC8AAAwMVB+EGlENoAANUN4QcAAHgVwo8X46jNxVNaX9P/AOAZhB8AAOBVCD8AAMCrEH5QAqdjAAA1GeEHAAB4FcIPAADwKoQfANUGp2QBuALhBwAAeBXCDwAA8CoeDT/Hjx9XVFSUDh8+bJuWlpammJgY1a9fX/Hx8TLG2Nq2bNmiNm3aKCwsTAkJCR6oGAAAVHceCz+//PKLBg0aZBd8rFarBg8erM6dOyslJUXp6elavny5JCkrK0txcXEaMWKEtm3bpqSkJCUnJ3umeBdy1xgGxkYAAFA6j4Wfv/71r/rrX/9qN23jxo3KyclRQkKCWrVqpblz5yoxMVGSlJSUpIiICM2aNUutW7fW7NmzbW0AAACO8lj4eeWVV/TAAw/YTUtNTVW3bt0UFBQkSerYsaPS09NtbX379pXFYpEkdenSRTt37ix3HVarVbm5uXYPb8cRoeqB9wkA3Mdj4adly5YlpuXm5ioqKsr23GKxyMfHR9nZ2SXagoODlZmZWe465s2bp5CQENujadOmrtsAAABQLVWpq718fX0VEBBgNy0wMFD5+fkl2oqnl2fGjBnKycmxPTIyMtxSd3XB0QQAACRfTxdwvtDQUKWlpdlNy8vLk7+/v0JDQ5WVlVVienkCAgJKhCkAAODdqtSRn5iYGG3fvt32/PDhw7JarQoNDS3Rtnv3bjVp0sQTZQIAgGqsSoWfXr16KScnR6+//rokaf78+erXr598fHwUFxenrVu3Kjk5WUVFRVq4cKFiY2M9XDGqO04FAoD3qVLhx9fXV6+88oruvfdeNWzYUKtXr9b8+fMlSWFhYVq0aJFiY2MVERGhtLQ0zZw508MVl42dqntU9371dP2eWL+ntxkA/sjjY37Ov4OzJA0dOlT79+9XSkqKunfvrvDwcFvb+PHjdeONN2rv3r3q3bu3goODL3a5AHDRtJi+XofnD/R0GUCN4/HwU5omTZqUOZ4nOjpa0dHRF7kiAABQU1Sp017egFMAFx997t14/wH8EeHHjfjSBQCg6iH8AAAAr0L4uUg4ClS11eT354/bVta2uqoPLkZf1uT3C4D7EX5Q5bBjgyP4nACoKMIPUA15asdP4ABQExB+4HW8cQde1be5qtcHoGYh/ADwCgQsAMUIP4CT2IkCQPVG+AEuEkITAFQNhB94raoeRtxdX2WXX9X7DwDKQvgBXIhAAFfhswS4D+GnmuOGciV5ul53rN/RZXp62wGgOiD8oFpiJw8AqCjCD6oNdwUeR5Zb2jxVJYBVlTrgPN47wDMIPzUYX6yA+/D3BVRfhB9cVOwwAACeRvjxUoQQuJqjvx5f3dSU7QDwO8IP4EbsOGsO3kug5iD8AAAAr0L4AVCjlHeE5vy26n4kp7rXD3gS4QeogdgxAkDZCD/wOHbUAICLifADoEYgRANwFOEH8AB21GWjbwC4G+EHAJxEQAOqN8IPaqzqtIOq6rVW9foqqjptlzO1Xqztqk79B5yP8INqwVu+ZF2xnd7SV3AOnwvgd4QfD+BLCKg4/n4AVBbhB8BF4Uho8cZg443bDHga4Qc1BjsR16gp/VhTtqOm4v2BJxF+AC/EjufiqIqDlAEQfoBqg52j67ijL3l/gOqD8FONefuXrbduf03bbsYCeRZ9C29E+EGVwhcxAMDdCD8A4GLuDvGuPlrGPzrgbQg/gBO8bSfB9gKoiQg/LsQXJ+BaVXE8EH/njmsxfX2p/UUfwtMIP6iR+HJFTVSVP9eerK0q9wuqJsIP4EFV8cgGnFPR94f3FfAcwg9QRbAzRGU5+hkqb77KfA4vxmeYvxO4AuGniqvuf+jVvX6Uzhve1+pwRKci66pK711VqqUs1aFGOI/wAwBw2U6esIDqgPBTDVWHL5fqUKOzauI2ucof+6aq9FVVqMOZvvH0GDBP91dZfeWu03QV5el+QuURfi4i/mBcjz6tWng/qpaqNAanOpxGhPcg/MBr8CWK8lTnz0dVuKM0nEOfehbhBzXChb5IvPWLpipud1mnMs5/XhXrxu+q0hGlqrAuPq/VD+EHblfdvxiqe/3VXXUa0+GOU0DV9fPnzm1096k2d762rLteu6sWlK7ahZ+0tDTFxMSofv36io+PlzHG0yUBgEOqS5Ar6zUV2XFXBD+JUTr6wHWqVfixWq0aPHiwOnfurJSUFKWnp2v58uWeLguoMWrql2tlj+TU1H5xhCu3/WKEp4oecSrtvS7t1GxZ7RfatqpwtM+bP8d/VK3Cz8aNG5WTk6OEhAS1atVKc+fOVWJioqfLQg3GlwVcwdOfo4oeSbkYp5dctQxHx4y5qs1VYcbZo2yuCpDlBfsLbaunP8+u4OvpApyRmpqqbt26KSgoSJLUsWNHpaenlzm/1WqV1Wq1Pc/JyZEk5ebmury2c9Z827KL/7+05+e70LznP3dmXmfXQ03Vv6biz7Qr1/PH5ZW1bWXN50gNld324mmVXW77R9+vVE3NJr9dofodndeR1xbX4InPuDvXU9a8zSa/rbQ5sWW+9vz+aP/o+0qbEytJtr4qfq273rvz9zN/rKm8ec+f/4/zlPY3WvzZLd6+8py/rvOXWVof/bH+Pz4v7sOLpXj9rhrqYjHVaNDM1KlTdebMGS1evNg2LTw8XPv27VP9+vVLzP/YY49pzpw5F7NEAADgJhkZGYqMjKz0cqrVkR9fX18FBATYTQsMDFR+fn6p4WfGjBmaMmWK7fm5c+f066+/6tJLL5XFYnFZXbm5uWratKkyMjIUHBzssuVWR/TF7+iL39EXv6Mvfkdf/I6++F1pfWGMUV5enho3buySdVSr8BMaGqq0tDS7aXl5efL39y91/oCAgBJhqV69em6rLzg42Os/tMXoi9/RF7+jL35HX/yOvvgdffG7P/ZFSEiIy5ZdrQY8x8TEaPv27bbnhw8fltVqVWhoqAerAgAA1Um1Cj+9evVSTk6OXn/9dUnS/Pnz1a9fP/n4+Hi4MgAAUF34PPbYY495ughH1apVS61bt9bo0aP1/PPP6+uvv1ZSUpIaNGjg6dLk4+Oj66+/Xr6+1epMolvQF7+jL35HX/yOvvgdZMo/dAAADCBJREFUffE7+uJ37u6LanW1V7HMzEylpKSoe/fuCg8P93Q5AACgGqmW4QcAAKCiqtWYHwAAgMoi/AAAAK9C+AEAAF6F8FNJaWlpiomJUf369RUfH++y3x2pqtatW6eWLVvK19dXXbt21d69eyVJkyZNksVisT2io6Ntr6mpfVTWNpe3vVu2bFGbNm0UFhamhIQET5XuUsuXL7frh+LH8uXLNXjwYLtp/fr1s72uJvXF8ePHFRUVpcOHD9umVfRzsHr1ajVv3lyNGzfWm2++ebE2wWVK64uyvjekmv3dUVpfVHR7q/vfyx/7orzvDUnu/+4wqLAzZ86YFi1amHHjxpkDBw6Ym266ybz66queLsttDhw4YOrXr2/eeust8+OPP5pbbrnFdO/e3RhjzLXXXmvWr19vsrOzTXZ2tsnNzTXG1Ow+Km2by9ven3/+2QQHB5s5c+aYffv2mauvvtps3rzZw1tReVar1dYH2dnZJiMjw4SFhZmDBw+aiIgIs2fPHlvbyZMnjTE1qy+ysrJMt27djCRz6NAhY0z5n/vytn3Pnj3G39/fLF261Hz11VcmOjrafPPNN57aNKeV1hflfW8YU3O/O0rrC2Mqtr3V/e+ltL4o73vDGOP27w7CTyWsWbPG1K9f35w6dcoYY8zu3btNjx49PFyV+7z77rtmyZIltuebN282/v7+prCw0NStW9fk5eWVeE1N7aOytrm87X322WfN5Zdfbs6dO2eMMWbt2rXmtttuu7iFXwRPPfWUueeee0xGRoZp1KhRqfPUpL7405/+ZP7xj3/YfbFX9HPwwAMPmNj/1969hTT5h3EA/266pTlrpcnALDMDS5M0CjuY5c1fSKoLOyF0sJNEpHllJ2ldFe0iwTKikzdK1p+CIKywzLoQZqZliqRmhaRpaGrLmvr7X/n+1R2q2TZ99/3ALvb+dvg9j7/36end+27//CO99vnz58Xx48ddGM34WMuFrbohhO39SIjJXzus5cLReCf7/mItF2MN1w0hhEtqBz/2GoeamhrExcVh6tSpAIDo6GjU1dW5eVbOk5ycjPT0dOl+Q0MDwsPD8fr1awghsGTJEvj6+iIpKQkfPnwAIN8c2YrZXrw1NTVITEyUflR3+fLlqKqqclsMztDf34/c3FwcPXoURqMRg4ODmD17Nvz8/LBt2zZ0dXUBkFcuLl++jIyMjFHbHF0Hw2PDJlterOXCVt0AbO9HwOSvHdZy4Wi8k31/sZaLkUbWDQAuqR1sfsahp6cH8+bNk+4rFAp4eXlJfyQ5+/nzJwwGAw4ePIi6ujpERkaiqKgIdXV1UKlUOHDgAAD55shWzPbiHTs2bdo0tLa2umP6TlNYWIi4uDiEhoaioaEBS5cuxYMHD1BZWYmWlhYcO3YMgOW6mMy5CAsLs9jm6DqY7HmxlouRRtYNwPZ+BEz+2mEtF47GK/d1MbJuAHBJ7eB3aI+Dt7e3xa/G+/j4wGQyYcaMGW6alWucOHECGo0G+/fvh0qlQmpqqjSWl5eHsLAw9PT0yDZHqampVmOOiIiwGe/YXAxvl5NLly5Br9cDALKzs5GdnS2NnT17FikpKcjPz5d9Luyte3uxyz0vI+sGYHs/kmvtcDReua+LkXUDcE3t4JGfcZg5cyY6OjpGbevt7YVarXbTjFzj0aNHuHTpEgoLC6FSqSzGtVothoaG8OnTJ4/J0XDMOp3OZrxjcyG3PDQ2NqKxsXHUVRkjabVadHZ24sePH7LPhb11by92OeflV3UD8Lza8bvxynld/KpuAM6pHWx+xmHZsmWoqKiQ7re0tEh/HLlqbm5Gamoq8vPzsWjRIgBAVlYWiouLpccYjUYolUqEhITINke2Yl68eLHNeMfmorq6GsHBwS6dtzMVFxcjOTlZ+octJSVlVLxGoxE6nQ5TpkyRfS7srXt7scs1L9bqBuB5tcPReOW6LgDLugG4qHb88SnSJDGbzWLWrFmioKBACCHEgQMHRHJysptn5Twmk0ksXLhQ7Nu3T/T29kq3GzduiPDwcPH06VNRWloqIiIiRFpamhBCvjkqKCiwGrO9eDs6OoSPj494/PixMJvNYv369eLQoUPuDOOvio+PH3Upsl6vF3FxcaKiokLcu3dP6HQ6cfr0aSGEPHOBMVf1OLIOqqurhUajEW/evBF9fX0iNjZWGAwGt8QzHiNzYatuDA0N2dyPhJBP7RiZC0fjlcv+AitXe42tG0K4pnaw+RmnO3fuCF9fXxEUFCQCAgJEbW2tu6fkNHfu3BEALG7v3r0T2dnZQqvVipCQEHH48GHpOxmGnyfHHNmK2V68Fy5cECqVSgQGBoq5c+eKtrY2d03/rzKZTEKtVov6+npp28+fP0VaWprw9/cX8+fPF3q9XpjNZmlcbrkYW9gdXQfZ2dlCrVYLrVYrYmJihMlkcmUYfwXGXPZvq24IYXs/Gn7uZK8dY9eFo/HKYX8ZmwtrdUMI19QO/qr7X9Da2orKykqsXLkSs2bNcvd0JiRPy5G9eBsbG1FfX4+EhARMmzbNTTOcGOSeC0fXwatXr9Da2orExESLk2A9DWvH/+S+v/yJ8eaCzQ8RERF5FJ7wTERERB6FzQ8RERF5FDY/RERE5FHY/BAREZFHYfNDRLL35csX3L59293TIKIJgs0PEclee3s7Nm/ejI8fP9p93MOHD+Hj44Pw8HCL28yZM5GZmemiGRORM/GHTYnIJcrKyrBp0yZ0d3c79X3u3buHo0ePWh2Lj4+HRqOBEAIDAwNYuHAh7t69K42r1WpERUWhsrLS4rmnTp2S1Y9JEnkyNj9E5FahoaG4ceMG1q5d+1de79u3b1AqlXj16hWGhoagVFoe4BZCwGw2Y2hoaNR2Ly8vCCHQ399v8ZyBgQHwa9GI5IHNDxHJikqlgkKhAADodDpMnToV3t7/l7pv376hq6sLJ0+exPHjx0c919vbG1+/fkVUVJTV1961a5fT5k1ErsNzfojILZKSkqBQKPD+/XusW7cOCoUCZ86ckcZLSkqwePFiaLVa7N27Fz9+/AAAKBQKZGRkICgoCGfOnMGqVasQEhIinc+jVCqlZufz589oaWnB7t27YTAYkJmZienTp0Ov1+PIkSMWc1qxYgUaGxtt3k6cOOGCzBCRs/HIDxG5xb///guz2Yzo6GhcvHgRq1evhq+vLwCgqakJGzduRH5+PhISEpCSkoJz585JzYdarcaePXuQk5OD0tJSpKWloby8HKmpqejr64OPj8+o91q7di22bNkCf39/GI1G+Pv7jxo/ffo0cnNz4efnB4VCAZPJBD8/P6vz7u/vR2xsLO7fv++ErBCRK7D5ISK3GG4ulEolNBoNtFqtNFZUVISYmBikpaUBANLT03H16lWp+dmzZw8qKioQGxuL+Ph4BAcHw2w2AwC6uroQEBCAnJwc3Lx5EyqVSnqf9vZ2rFixQnqfrVu34uTJk8jJyUFOTg4A4Pnz59i5cyeampqcnwQicgs2P0Q04bS2tqKqqkpqiAYGBqDRaKTx4SM7Y4/wAEBbWxvmz58vNTXDH4EZDAa0tLQgLy8PJpMJwcHBSEhIsHh+WVkZ1qxZ44ywiGiCYPNDRG6lVCotrqKaPXs2NmzYAIPBAAAYHBz87cvMq6qqkJycLB3xsWZwcBC5ubmIj4+3GKupqcGTJ08QGBg4ant/fz8WLFiAly9f/tY8iGji4gnPRORW4eHhKCkpwadPn1BaWgoA2L59O549e4a3b98CAHJzc7F79+5fvlZ3dzfKy8sRFxdn93H+/v7YsWOHdFXYSLdu3UJnZ6fFLSsrCzExMQ5ESEQTDZsfInIrg8GAkpISzJs3D3q9HgAQFhaGgoICZGVlITIyErW1tSgqKvrla125cgVBQUGIjY2VtvX29sJoNOLFixdWPyaz5+3bt6irq0NlZSWKi4uxbNmyPwuOiCYkheC3dhGRTLS1taG5uRkrV66Utn3//h1z5sxBYGAgrl27NuqE51/JyMhAXl4edDodli9fjuvXr486MZuIJic2P0RENgwMDECpVFr9lmgimrzY/BAREZFH4X9niIiIyKOw+SEiIiKPwuaHiIiIPAqbHyIiIvIobH6IiIjIo7D5ISIiIo/C5oeIiIg8CpsfIiIi8ij/AUHczDh/bUeFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 统计每部Item被多少User打过分了\n",
    "item_score_info = data['item_id'].value_counts() \n",
    "\n",
    "plt.subplot(1, 1, 1)\n",
    "plt.bar(np.array(item_score_info.index), item_score_info.values)\n",
    "plt.title(\"每个Item被多少个User打分了\")\n",
    "plt.xlabel(\"Item序号\")\n",
    "plt.ylabel(\"被多少个User打过分\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 1682 artists>"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 重新索引\n",
    "item_score_info_copy = item_score_info.copy()\n",
    "item_score_info_copy.index = range(item_score_info_copy.count())\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.title(\"每个Item被打分的次数\")\n",
    "plt.xlabel(\"Item序号\")\n",
    "plt.ylabel(\"被多少个User打过分\")\n",
    "plt.bar(np.array(item_score_info_copy.index), item_score_info_copy.values)\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.title(\"每个Item被打分的次数(重置索引前)\")\n",
    "plt.xlabel(\"Item序号(重置索引前)\")\n",
    "plt.ylabel(\"被多少个User打过分\")\n",
    "plt.bar(np.array(item_score_info.index), item_score_info.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 看看最流行的是哪些电影，与u.item关联"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   item_id              title release_date  video_release_date  \\\n0        1   Toy Story (1995)  01-Jan-1995                 NaN   \n1        2   GoldenEye (1995)  01-Jan-1995                 NaN   \n2        3  Four Rooms (1995)  01-Jan-1995                 NaN   \n3        4  Get Shorty (1995)  01-Jan-1995                 NaN   \n4        5     Copycat (1995)  01-Jan-1995                 NaN   \n\n                                            imdb_url  unknown  Action  \\\n0  http://us.imdb.com/M/title-exact?Toy%20Story%2...        0       0   \n1  http://us.imdb.com/M/title-exact?GoldenEye%20(...        0       1   \n2  http://us.imdb.com/M/title-exact?Four%20Rooms%...        0       0   \n3  http://us.imdb.com/M/title-exact?Get%20Shorty%...        0       1   \n4  http://us.imdb.com/M/title-exact?Copycat%20(1995)        0       0   \n\n   Adventure  Animation  Children's  ...  Fantasy  Film-Noir  Horror  Musical  \\\n0          0          1           1  ...        0          0       0        0   \n1          1          0           0  ...        0          0       0        0   \n2          0          0           0  ...        0          0       0        0   \n3          0          0           0  ...        0          0       0        0   \n4          0          0           0  ...        0          0       0        0   \n\n   Mystery  Romance  Sci-Fi  Thriller  War  Western  \n0        0        0       0         0    0        0  \n1        0        0       0         1    0        0  \n2        0        0       0         1    0        0  \n3        0        0       0         0    0        0  \n4        0        0       0         1    0        0  \n\n[5 rows x 24 columns]\n"
     ]
    }
   ],
   "source": [
    "#读取数据\n",
    "item_cols = ['item_id', 'title', 'release_date', 'video_release_date', 'imdb_url', 'unknown', 'Action', 'Adventure',\n",
    " 'Animation', 'Children\\'s', 'Comedy', 'Crime', 'Documentary', 'Drama', 'Fantasy',\n",
    " 'Film-Noir', 'Horror', 'Musical', 'Mystery', 'Romance', 'Sci-Fi', 'Thriller', 'War', 'Western'] \n",
    "\n",
    "item_data_path = './data/u.item'\n",
    "item_detail = pd.read_csv(item_data_path, \n",
    "                       sep='|', \n",
    "                       names=item_cols,\n",
    "                       encoding='latin-1')\n",
    "print(item_detail.head())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   item_id  rating_times                      title release_date  \\\n0       50           583           Star Wars (1977)  01-Jan-1977   \n1      258           509             Contact (1997)  11-Jul-1997   \n2      100           508               Fargo (1996)  14-Feb-1997   \n3      181           507  Return of the Jedi (1983)  14-Mar-1997   \n4      294           485           Liar Liar (1997)  21-Mar-1997   \n\n   video_release_date                                           imdb_url  \\\n0                 NaN  http://us.imdb.com/M/title-exact?Star%20Wars%2...   \n1                 NaN          http://us.imdb.com/Title?Contact+(1997/I)   \n2                 NaN    http://us.imdb.com/M/title-exact?Fargo%20(1996)   \n3                 NaN  http://us.imdb.com/M/title-exact?Return%20of%2...   \n4                 NaN          http://us.imdb.com/Title?Liar+Liar+(1997)   \n\n   unknown  Action  Adventure  Animation  ...  Film-Noir  Horror  Musical  \\\n0        0       1          1          0  ...          0       0        0   \n1        0       0          0          0  ...          0       0        0   \n2        0       0          0          0  ...          0       0        0   \n3        0       1          1          0  ...          0       0        0   \n4        0       0          0          0  ...          0       0        0   \n\n   Mystery  Romance  Sci-Fi  Thriller  War  Western  ranking_rating_times  \n0        0        1       1         0    1        0                     0  \n1        0        0       1         0    0        0                     1  \n2        0        0       0         1    0        0                     2  \n3        0        1       1         0    1        0                     3  \n4        0        0       0         0    0        0                     4  \n\n[5 rows x 26 columns]\n"
     ]
    }
   ],
   "source": [
    "# 按item_id汇总Item打分信息和Item详细信息\n",
    "\n",
    "item_rating = pd.DataFrame({\n",
    "    \"item_id\": item_score_info.index,\n",
    "    \"rating_times\": item_score_info.values\n",
    "})\n",
    "\n",
    "item_detail_and_rating = pd.merge(item_rating, \n",
    "                                item_detail, \n",
    "                                how='left', \n",
    "                                left_on='item_id', \n",
    "                                right_on='item_id')\n",
    "item_detail_and_rating['ranking_rating_times'] = range(item_score_info.count())\n",
    "print(item_detail_and_rating.head())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 前二十大流行电影(按被打分次数排名)\n",
    "top_20 = item_detail_and_rating.iloc[0:20]\n",
    "top_20_rating_times = top_20[\"rating_times\"]\n",
    "top_20_titles = top_20[\"title\"]\n",
    "\n",
    "titles_list = np.array(top_20_titles)\n",
    "x_ticks = np.arange(len(titles_list))\n",
    "\n",
    "rating_times_list = np.array(top_20_rating_times)\n",
    " \n",
    "plt.subplots(1, 1)\n",
    "plt.rcdefaults()\n",
    "plt.bar(x_ticks, rating_times_list, align='center', alpha=0.5)\n",
    "plt.xticks(x_ticks, titles_list, rotation='vertical')\n",
    "plt.xlabel(\"Movie Names\")\n",
    "plt.ylabel('Rating Count')\n",
    "plt.title('Most popular 20 Movies')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算每个电影的受欢迎程度\n",
    "看哪些电影的平均评分分数最高（总评分？）\n",
    "基于受欢迎的程度可以推荐最受欢迎的电影"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    item_id  mean_rating                                              title  \\\n0      1293     5.000000                                    Star Kid (1997)   \n1      1467     5.000000               Saint of Fort Washington, The (1993)   \n2      1653     5.000000  Entertaining Angels: The Dorothy Day Story (1996)   \n3       814     5.000000                      Great Day in Harlem, A (1994)   \n4      1122     5.000000                     They Made Me a Criminal (1939)   \n5      1599     5.000000                      Someone Else's America (1995)   \n6      1201     5.000000         Marlene Dietrich: Shadow and Light (1996)    \n7      1189     5.000000                                 Prefontaine (1997)   \n8      1500     5.000000                          Santa with Muscles (1996)   \n9      1536     5.000000                               Aiqing wansui (1994)   \n10     1449     4.625000                             Pather Panchali (1955)   \n11     1642     4.500000                           Some Mother's Son (1996)   \n12      119     4.500000             Maya Lin: A Strong Clear Vision (1994)   \n13     1398     4.500000                                        Anna (1996)   \n14     1594     4.500000                                     Everest (1998)   \n15      408     4.491071                              Close Shave, A (1995)   \n16      318     4.466443                            Schindler's List (1993)   \n17      169     4.466102                         Wrong Trousers, The (1993)   \n18      483     4.456790                                  Casablanca (1942)   \n19      114     4.447761  Wallace & Gromit: The Best of Aardman Animatio...   \n\n   release_date  video_release_date  \\\n0   16-Jan-1998                 NaN   \n1   01-Jan-1993                 NaN   \n2   27-Sep-1996                 NaN   \n3   01-Jan-1994                 NaN   \n4   01-Jan-1939                 NaN   \n5   10-May-1996                 NaN   \n6   02-Apr-1996                 NaN   \n7   24-Jan-1997                 NaN   \n8   08-Nov-1996                 NaN   \n9   22-Jul-1996                 NaN   \n10  22-Mar-1996                 NaN   \n11  27-Dec-1996                 NaN   \n12  01-Jan-1994                 NaN   \n13  13-Nov-1996                 NaN   \n14  10-Mar-1998                 NaN   \n15  28-Apr-1996                 NaN   \n16  01-Jan-1993                 NaN   \n17  01-Jan-1993                 NaN   \n18  01-Jan-1942                 NaN   \n19  05-Apr-1996                 NaN   \n\n                                             imdb_url  unknown  Action  \\\n0   http://us.imdb.com/M/title-exact?imdb-title-12...        0       0   \n1   http://us.imdb.com/M/title-exact?Saint%20of%20...        0       0   \n2   http://us.imdb.com/M/title-exact?Entertaining%...        0       0   \n3   http://us.imdb.com/M/title-exact?Great%20Day%2...        0       0   \n4   http://us.imdb.com/M/title-exact?They%20Made%2...        0       0   \n5   http://us.imdb.com/M/title-exact?Someone%20Els...        0       0   \n6   http://us.imdb.com/M/title-exact?Marlene%20Die...        0       0   \n7   http://us.imdb.com/M/title-exact?Prefontaine%2...        0       0   \n8   http://us.imdb.com/M/title-exact?Santa%20with%...        0       0   \n9   http://us.imdb.com/M/title-exact?Aiqing%20Wans...        0       0   \n10  http://us.imdb.com/M/title-exact?Pather%20Panc...        0       0   \n11  http://us.imdb.com/M/title-exact?Some%20Mother...        0       0   \n12  http://us.imdb.com/M/title-exact?Maya%20Lin:%2...        0       0   \n13     http://us.imdb.com/M/title-exact?Anna%20(1996)        0       0   \n14            http://us.imdb.com/Title?Everest+(1998)        0       0   \n15  http://us.imdb.com/M/title-exact?Close%20Shave...        0       0   \n16  http://us.imdb.com/M/title-exact?Schindler's%2...        0       0   \n17  http://us.imdb.com/M/title-exact?Wrong%20Trous...        0       0   \n18  http://us.imdb.com/M/title-exact?Casablanca%20...        0       0   \n19  http://us.imdb.com/Title?Wallace+%26+Gromit%3A...        0       0   \n\n    Adventure  Animation  ...  Fantasy  Film-Noir  Horror  Musical  Mystery  \\\n0           1          0  ...        1          0       0        0        0   \n1           0          0  ...        0          0       0        0        0   \n2           0          0  ...        0          0       0        0        0   \n3           0          0  ...        0          0       0        0        0   \n4           0          0  ...        0          0       0        0        0   \n5           0          0  ...        0          0       0        0        0   \n6           0          0  ...        0          0       0        0        0   \n7           0          0  ...        0          0       0        0        0   \n8           0          0  ...        0          0       0        0        0   \n9           0          0  ...        0          0       0        0        0   \n10          0          0  ...        0          0       0        0        0   \n11          0          0  ...        0          0       0        0        0   \n12          0          0  ...        0          0       0        0        0   \n13          0          0  ...        0          0       0        0        0   \n14          0          0  ...        0          0       0        0        0   \n15          0          1  ...        0          0       0        0        0   \n16          0          0  ...        0          0       0        0        0   \n17          0          1  ...        0          0       0        0        0   \n18          0          0  ...        0          0       0        0        0   \n19          0          1  ...        0          0       0        0        0   \n\n    Romance  Sci-Fi  Thriller  War  Western  \n0         0       1         0    0        0  \n1         0       0         0    0        0  \n2         0       0         0    0        0  \n3         0       0         0    0        0  \n4         0       0         0    0        0  \n5         0       0         0    0        0  \n6         0       0         0    0        0  \n7         0       0         0    0        0  \n8         0       0         0    0        0  \n9         0       0         0    0        0  \n10        0       0         0    0        0  \n11        0       0         0    0        0  \n12        0       0         0    0        0  \n13        0       0         0    0        0  \n14        0       0         0    0        0  \n15        0       0         1    0        0  \n16        0       0         0    1        0  \n17        0       0         0    0        0  \n18        1       0         0    1        0  \n19        0       0         0    0        0  \n\n[20 rows x 25 columns]\n"
     ]
    }
   ],
   "source": [
    "# 每个Item的平均打分\n",
    "item_mean_score = data[\"rating\"] \\\n",
    "    .groupby(data[\"item_id\"]) \\\n",
    "    .mean() \\\n",
    "    .sort_values(ascending=False)\n",
    "item_mean_score_df = pd.DataFrame({\n",
    "    \"item_id\": item_mean_score.index,\n",
    "    \"mean_rating\": item_mean_score.values\n",
    "})\n",
    "item_mean_score_and_detail = pd.merge(item_mean_score_df,\n",
    "                                      item_detail,\n",
    "                                      how=\"left\",\n",
    "                                      on=\"item_id\")\n",
    "print(item_mean_score_and_detail.head(20))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "原来这些全 5 分的电影都只有 1-3 个评分！这就把排名排上去了！\n",
    "看来平均分不靠谱，得把评分人次也考虑进去！（总评分？）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Most popular Movies')"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 前二十大流行电影(按照平均分来算)\n",
    "top_20_1 = item_mean_score_and_detail.iloc[0:20]\n",
    "top_20_mean_ratings_1 = np.array(top_20_1[\"mean_rating\"])\n",
    "top_20_titles_list_1 = np.array(top_20_1[\"title\"])\n",
    "\n",
    "x_ticks_1 = np.arange(len(top_20_1))\n",
    " \n",
    "plt.rcdefaults()\n",
    "plt.subplot(1, 1, 1)\n",
    "plt.bar(x_ticks, top_20_mean_ratings_1, align='center', alpha=0.5)\n",
    "plt.xticks(x_ticks, top_20_titles_list_1, rotation='vertical')\n",
    "plt.xlabel(\"Movie Names\")\n",
    "plt.ylabel('Mean Rating')\n",
    "plt.title('Most popular Movies')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "scrolled": true,
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    item_id  mean_rating                       title release_date  \\\n15      408     4.491071       Close Shave, A (1995)  28-Apr-1996   \n16      318     4.466443     Schindler's List (1993)  01-Jan-1993   \n17      169     4.466102  Wrong Trousers, The (1993)  01-Jan-1993   \n\n    video_release_date                                           imdb_url  \\\n15                 NaN  http://us.imdb.com/M/title-exact?Close%20Shave...   \n16                 NaN  http://us.imdb.com/M/title-exact?Schindler's%2...   \n17                 NaN  http://us.imdb.com/M/title-exact?Wrong%20Trous...   \n\n    unknown  Action  Adventure  Animation  ...  Film-Noir  Horror  Musical  \\\n15        0       0          0          1  ...          0       0        0   \n16        0       0          0          0  ...          0       0        0   \n17        0       0          0          1  ...          0       0        0   \n\n    Mystery  Romance  Sci-Fi  Thriller  War  Western  rating_times  \n15        0        0       0         1    0        0           112  \n16        0        0       0         0    1        0           298  \n17        0        0       0         0    0        0           118  \n\n[3 rows x 26 columns]\n"
     ]
    }
   ],
   "source": [
    "# 获得评分次数\n",
    "item_mean_score_and_detail_2 = pd.merge(item_mean_score_and_detail,\n",
    "                                        item_rating,\n",
    "                                        how=\"left\",\n",
    "                                        on=\"item_id\")\n",
    "\n",
    "# 去掉评分次数<20次的电影\n",
    "temp_data = item_mean_score_and_detail_2\n",
    "item_mean_score_and_detail_2 = temp_data[temp_data.rating_times > 20]\n",
    "print(item_mean_score_and_detail_2.head(3))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Most Popular 20 Movies')"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 前二十大流行电影\n",
    "top_20_2 = item_mean_score_and_detail_2.iloc[0:20]\n",
    "top_20_titles_list_2 = np.array(top_20_2[\"title\"])\n",
    "top_20_mean_ratings_2 = np.array(top_20_2[\"mean_rating\"])\n",
    "\n",
    "x_ticks_2 = np.arange(len(top_20_2))\n",
    "\n",
    "plt.subplot(1, 1, 1)\n",
    "plt.bar(x_ticks_2, top_20_mean_ratings_2, align=\"center\", alpha=0.5)\n",
    "plt.xticks(x_ticks_2, top_20_titles_list_2, rotation=\"vertical\")\n",
    "plt.xlabel(\"Most Popular Movies(by mean rating, with rating_times>20)\")\n",
    "plt.ylabel(\"Mean Rating\")\n",
    "plt.title(\"Most Popular 20 Movies\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 评分次数与平均评分的相关性\n",
    "散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1d81b0c8>"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, figsize=(12, 4))\n",
    "ax.scatter(item_mean_score_and_detail_2['rating_times'],\n",
    "           item_mean_score_and_detail_2['mean_rating'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由上图可见，评分少的不见得就平均分就低，从整体趋势来看，评分次数多的，平均分也高。可见，流行电影确实受人欢迎。从另一个角度看，存在不少广受大众欢迎的电影，但也存在不少看的人不多，但评分很高质量很好的电影，太流行的电影肯定大家都看过了，关键是如何找到那些还比较小众的电影，这些电影可能具备大众欢迎的元素，但因宣传做得不好没被大众发现，也可能是这些电影就是小众，在小圈子里非常受欢迎，但到更大的人群中就不行。如何把这些电影推荐给何时的人，是个性化推荐要考虑的问题。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算电影的年份（从title中来）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    item_id  mean_rating                                              title  \\\n15      408     4.491071                              Close Shave, A (1995)   \n16      318     4.466443                            Schindler's List (1993)   \n17      169     4.466102                         Wrong Trousers, The (1993)   \n18      483     4.456790                                  Casablanca (1942)   \n19      114     4.447761  Wallace & Gromit: The Best of Aardman Animatio...   \n\n   release_date  video_release_date  \\\n15  28-Apr-1996                 NaN   \n16  01-Jan-1993                 NaN   \n17  01-Jan-1993                 NaN   \n18  01-Jan-1942                 NaN   \n19  05-Apr-1996                 NaN   \n\n                                             imdb_url  unknown  Action  \\\n15  http://us.imdb.com/M/title-exact?Close%20Shave...        0       0   \n16  http://us.imdb.com/M/title-exact?Schindler's%2...        0       0   \n17  http://us.imdb.com/M/title-exact?Wrong%20Trous...        0       0   \n18  http://us.imdb.com/M/title-exact?Casablanca%20...        0       0   \n19  http://us.imdb.com/Title?Wallace+%26+Gromit%3A...        0       0   \n\n    Adventure  Animation  ...  Horror  Musical  Mystery  Romance  Sci-Fi  \\\n15          0          1  ...       0        0        0        0       0   \n16          0          0  ...       0        0        0        0       0   \n17          0          1  ...       0        0        0        0       0   \n18          0          0  ...       0        0        0        1       0   \n19          0          1  ...       0        0        0        0       0   \n\n    Thriller  War  Western  rating_times  year  \n15         1    0        0           112  1995  \n16         0    1        0           298  1993  \n17         0    0        0           118  1993  \n18         0    1        0           243  1942  \n19         0    0        0            67  1996  \n\n[5 rows x 27 columns]\n"
     ]
    }
   ],
   "source": [
    "# 使用正则表达式取出上映年份\n",
    "temp_data = item_mean_score_and_detail_2\n",
    "item_mean_score_and_detail_2['year'] = temp_data.title.str.extract(\n",
    "    '(\\((\\d{4})\\))', expand=True).iloc[:, 1] \n",
    "print(item_mean_score_and_detail_2.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 去掉年份后的Title\n",
    "#import re\n",
    "#pattern = re.compile(r'^(.*)\\((\\d+)\\)$')\n",
    "#title_map = {val:pattern.match(val).group(1) for ii,val in enumerate(set(df_items_sorted_by_mean_rating_merge['title']))}\n",
    "#df_items_sorted_by_mean_rating_merge['title'] = df_items_sorted_by_mean_rating_merge['title'].map(title_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# 统计每年上映的电影数目，默认是降序排列\n",
    "items_sorted_by_year = item_mean_score_and_detail_2['year'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([0,\n  1,\n  2,\n  3,\n  4,\n  5,\n  6,\n  7,\n  8,\n  9,\n  10,\n  11,\n  12,\n  13,\n  14,\n  15,\n  16,\n  17,\n  18,\n  19,\n  20,\n  21,\n  22,\n  23,\n  24,\n  25,\n  26,\n  27,\n  28,\n  29,\n  30,\n  31,\n  32,\n  33,\n  34,\n  35,\n  36,\n  37,\n  38,\n  39,\n  40,\n  41,\n  42,\n  43,\n  44,\n  45,\n  46,\n  47,\n  48,\n  49,\n  50,\n  51,\n  52,\n  53,\n  54,\n  55,\n  56,\n  57,\n  58,\n  59,\n  60,\n  61,\n  62,\n  63,\n  64,\n  65,\n  66],\n <a list of 67 Text xticklabel objects>)"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1500x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 12))\n",
    "plt.subplot(1, 1, 1)\n",
    "plt.bar(np.array(items_sorted_by_year.index), items_sorted_by_year.values)\n",
    "plt.xticks(rotation=\"vertical\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
